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X is the length of the ladder and the hypotenuse of a Pythagorean Triangle so:
x2 = (x - 18)2 + (x - 1)2 ie x2 - 36x + 324 + x2 - 2x + 1 which is 2x2 - 38x + 325
this is the same as x2 - 38x + 325 = 0 which factorises as (x - 13)(x - 25) so the ladder is either 13 or 25 feet long but it can't be 13 so the lengths are 25ft ladder, 7 feet from the building and 24 feet up the wall.
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A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
A 14 foot ladder is leaning against a building the ladder makes a 45 degree angle with the building how fa?
To find how far the base of the ladder is from the building, we can use the properties of a right triangle. With a 45-degree angle, the height at which the ladder touches the building is equal to the distance from the building to the base of the ladder. Therefore, using the Pythagorean theorem, the distance from the wall is approximately 10 feet.
An extension ladder's distance from the base of a building should be what proportion of it's total extension?
It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)
How high up a building will a ladder reach if it is 6 meters high and it's base is 1 meter?
To determine how high the ladder reaches, we can use the Pythagorean theorem. The ladder forms a right triangle with the height of the building and the distance from the building to the base of the ladder. In this case, the ladder is the hypotenuse (6 meters), the base is 1 meter, and we need to find the height (h). Using the formula ( h = \sqrt{6^2 - 1^2} = \sqrt{36 - 1} = \sqrt{35} \approx 5.92 ) meters. Thus, the ladder reaches approximately 5.92 meters up the building.
How many meters from the building should the heel of a 10 meter ladder be placed to reach a height of 8 meters?
To find the distance from the building where the heel of a 10-meter ladder should be placed to reach a height of 8 meters, we can use the Pythagorean theorem. Let ( d ) be the distance from the building. The equation is ( d^2 + 8^2 = 10^2 ). This simplifies to ( d^2 + 64 = 100 ), resulting in ( d^2 = 36 ), thus ( d = 6 ) meters. Therefore, the heel of the ladder should be placed 6 meters from the building.
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet?
A. 11 feet B. 13 C. 12 D. 14.
A 10 meter ladder is leaning against a building The bottom of the ladder is 5 meters from the building How many meters high is the top of the ladder?
5 meters
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
A ladder is leaning against a building the distance from the building to the botton of the ladder is 7 feet the ladder is 25 feet long how high up the building is the top of the ladder?
It is: 24 feet by using Pythagoras' theorem
A 14 foot ladder is leaning against a building the ladder makes a 45 degree angle with the building how fa?
To find how far the base of the ladder is from the building, we can use the properties of a right triangle. With a 45-degree angle, the height at which the ladder touches the building is equal to the distance from the building to the base of the ladder. Therefore, using the Pythagorean theorem, the distance from the wall is approximately 10 feet.
What is 4 to 1 ratio for ladder use?
That probably refers to the ratio between the length of the ladder, and the distance at which you place the bottom part of the ladder from the wall. If this distance is too short, you have the risk of the ladder falling backwards.
A 24-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 22 feet from the basse of the building?
56
A ladder is leaning against a building The distance from the bottom of the ladder to the building is 4ft less than the length of the ladder How high up the side of the building is the top of the lad?
x^2=(x-4)^2+y^2 height up the wall = y = (x^2-(x-4)^2)^1/2 so if the length of the ladder is 10 feet Y= (100-36)^1/2 = 8
An extension ladder's distance from the base of a building should be what proportion of it's total extension?
It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)
Pyhtagorean Theorem A firefighter has a 22-foot ladder If he stand the bottom of the ladder 7 feet from the base of a building will the ladder be long enough to reach a window 19 feet from the groun?
he should bud the ladder so it wouldn't be able to reach
A 10-m ladder is leaning against a building The bottom of the ladder is 5 m from the building. how high is the top of the ladder?
Its pythagoras: 102 - 52 = vertical height2. So 100-25 = vertical height2. Then the square root of 75 must = vertical height. Which makes the top of the ladder 8.66 feet (8ft 8 inches) from the ground.
A ladder 3m long leans against a wall reaches 2m up the wall What is the distance between the bottom of the ladder and the wall?
If you are asking, what's the distance (x) from the bottom of the ladder to the wall, then... x squared + 2 squared = 3 squared x squared + 4 = 9 x squared = 5 x = the square root of 5, or approx 2.24 m
